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\frac{3}{5+2}\times \frac{4}{2+3+4}
Add 3 and 2 to get 5.
\frac{3}{7}\times \frac{4}{2+3+4}
Add 5 and 2 to get 7.
\frac{3}{7}\times \frac{4}{5+4}
Add 2 and 3 to get 5.
\frac{3}{7}\times \frac{4}{9}
Add 5 and 4 to get 9.
\frac{3\times 4}{7\times 9}
Multiply \frac{3}{7} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{63}
Do the multiplications in the fraction \frac{3\times 4}{7\times 9}.
\frac{4}{21}
Reduce the fraction \frac{12}{63} to lowest terms by extracting and canceling out 3.